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Case study of the
Bövik–Benveniste methodology for imperfect interface modeling
of two-dimensional elasticity problems with thin layers
Svetlana Baranova and Sofia G. Mogilevskaya |
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Vol. 17 (2022), No. 3, 247–279
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Abstract |
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In this paper, a two-dimensional case study of the Bövik–Benveniste methodology for imperfect interface modeling of thin elastic layers is performed. The case study problem involves an infinite domain containing a coated circular-shaped fiber subjected to uniform loading at infinity. All phases of that composite system are assumed to be isotropic and linearly elastic. Using this case, the main assumptions of the methodology are analyzed, and a novel, complex variable-based approach for its implementation is developed. The proposed approach is used for derivations of the first, second, and third order imperfect interface models for the case study problem. The models are tested for problems involving a wide range of governing parameters. It is demonstrated that the Bövik–Benveniste methodology allows for the construction of elastic interface models that behave satisfactorily at all ranges of layer stiffness. |
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Keywords
imperfect interface modeling, Bövik–Benveniste methodology,
high order models, complex variable-based approach
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Milestones
Received: 13 December 2021
Revised: 15 February 2022
Accepted: 19 February 2022
Published: 22 January 2023
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Authors |
| Svetlana Baranova | |
| Department of Civil, Environmental,
and Geo-Engineering University of Minnesota Minneapolis United States |
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| Sofia G. Mogilevskaya | |
| Department of Civil, Environmental,
and Geo-Engineering University of Minnesota Minneapolis United States |
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